468927900 has 288 divisors, whose sum is σ = 1765998080. Its totient is φ = 104509440.

The previous prime is 468927889. The next prime is 468927913. The reversal of 468927900 is 9729864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812412 + ... + 812988.

Almost surely, 2^468927900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468927900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882999040).

468927900 is an abundant number, since it is smaller than the sum of its proper divisors (1297070180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468927900 is a wasteful number, since it uses less digits than its factorization.

468927900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 468927900 is about 21654.7431293932. The cubic root of 468927900 is about 776.9063854658.

The spelling of 468927900 in words is "four hundred sixty-eight million, nine hundred twenty-seven thousand, nine hundred".